Part A.
7.8 is a rational number between 7.7 and 7.9.
It is rational because it can be written as a fraction of integers, such as 78/10.
Part B.
sqrt(60) = 7.75
sqrt(60) cannot be written as a fraction of integers. It is a decimal number that never ends and never repeats.
Answer:
0.8894 is the probability that the test result comes back negative if the disease is present
.
Step-by-step explanation:
We are given the following in the question:
P(Disco Fever) = P( Disease) =

Thus, we can write:
P(No Disease) =

P(Test Positive given the presence of the disease) = 0.99

P( false-positive) = 4%

We have to evaluate the probability that the test result comes back negative if the disease is present, that is
P(test result comes back negative if the disease is present)
By Bayes's theorem, we can write:

0.8894 is the probability that the test result comes back negative if the disease is present
.
Answer:
amount of pepper required= 7.5 tsp
amount of garlic powder required = 30 tsp
Step-by-step explanation:
Given,
amount of salt used for small batch of the recipe = 2 tsp
amount of pepper used for small batch of the recipe = 1 tsp
amount of garlic powder used for small batch of the recipe = 4 tsp
amount of salt used for the larger batch = 15 tsp
= 2 x 7.5 tsp
= amount of salt used for small batch the recipe x 7.5
So,
the amount of pepper needed for the larger batch= 7.5 x amount of pepper used for the small batch of recipe
= 7.5 x 1 tsp
= 7.5 tsp
the amount of garlic powder needed for the larger batch= 7.5 x amount of garlic powder used for the small batch of recipe
= 7.5 x 4 tsp
= 30 tsp
First, determine the center of the circle by getting the midpoint of the points given for the circumference.
midpoint = ((0 + 0)/2, (3 + -4)/2)
midpoint (0, -0.5)
Then, we get the radius by determining the distance from either of the circumferential point to the center.
radius = √(0 - 0)² + (3 +4)² = 7
The equation for the circle would be,
x² + (y + 0.5)² = 7²
Answer:
c. 
Step-by-step explanation:
Given,
Number of bacterias who alive for at least 30 days = 5,
Bacterias who alive for 2 days = 10,
Died bacterias = 10,
Total bacterias = 5 + 10 + 10 = 25,
Ways of choosing a bacteria =
=
= 25,
While, ways of choosing of a bacteria who will live after 1 week =
=
= 5,
Hence, the probability it will still be alive after one week =
= 
OPTION C is correct.